imo class 12 relations and functions

If f : R → R is defined by f(x) = 2ˣ, then f is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

If f : R → R is defined by f(x) = 2ˣ, then f is:

  • A. one-one and onto
  • B. one-one but not onto
  • C. onto but not one-one
  • D. neither one-one nor onto

Answer: B) one-one but not onto

Explanation: 2ˣ is strictly increasing → one-one. Range is (0, ∞), not all real numbers → not onto.

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